Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 189, Issue 2, Pages 399-420Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2007.05.014
Keywords
decision-making; environment; integer programming; robust programming; two-stage stochastic; uncertainty
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In this study, a two-stage fuzzy robust integer programming (TFRIP) method has been developed for planning environmental management systems under uncertainty. This approach integrates techniques of robust programming and two-stage stochastic programming within a mixed integer linear programming framework. It can facilitate dynamic analysis of capacity-expansion planning for waste management facilities within a multi-stage context. In the modeling formulation, uncertainties can be presented in terms of both possibilistic and probabilistic distributions, such that robustness of the optimization process could be enhanced. In its solution process, the fuzzy decision space is delimited into a more robust one by specifying the uncertainties through dimensional enlargement of the original fuzzy constraints. The TFRIP method is applied to a case study of long-term waste-management planning under uncertainty. The generated solutions for continuous and binary variables can provide desired waste-flow-allocation and capacity-expansion plans with a minimized system cost and a maximized system feasibility. (C) 2007 Published by Elsevier B.V.
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